Chapter 7

Fluid Mechanics

Euler equation

FondamentalVolume forces, mass forces

On the assumption of perfect fluid, neglecting the forces of viscosity.

A fluid element of volume and of mass  is subjected to forces of mass or volume representation according to the expression :

Examples :

  • Gravitational forces :

  • Pressure forces :

FondamentalEuler equation

In an inertial frame (R), the Newton's second law applied to a fluid of mass which we follow the particle movement and subjected to the forces can be written :

With :

Hence the Euler equation :

Or :

AttentionEuler equation

Or :

Learning program
Oscillations in a U-tube